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30003123211100 = 225213113425348023
BaseRepresentation
bin1101101001001101001011…
…00000000100101101011100
310221020021022020120022200022
412310212211200010231130
512413032344020223400
6143451124452251312
76214440235266014
oct664464540045534
9127207266508608
1030003123211100
119618286966856
123446981310b38
131398389503160
1475a2320a6c44
153706b40a9b85
hex1b49a5804b5c

30003123211100 has 144 divisors (see below), whose sum is σ = 70753582855872. Its totient is φ = 10977229885440.

The previous prime is 30003123211063. The next prime is 30003123211121. The reversal of 30003123211100 is 111232130003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624741689 + ... + 624789711.

It is an arithmetic number, because the mean of its divisors is an integer number (491344325388).

Almost surely, 230003123211100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003123211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35376791427936).

30003123211100 is an abundant number, since it is smaller than the sum of its proper divisors (40750459644772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30003123211100 is a wasteful number, since it uses less digits than its factorization.

30003123211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52416 (or 52409 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 30003123211100 its reverse (111232130003), we get a palindrome (30114355341103).

The spelling of 30003123211100 in words is "thirty trillion, three billion, one hundred twenty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 113 130 226 260 325 452 565 650 1130 1300 1469 2260 2825 2938 4253 5650 5876 7345 8506 11300 14690 17012 21265 29380 36725 42530 48023 55289 73450 85060 96046 106325 110578 146900 192092 212650 221156 240115 276445 425300 480230 480589 552890 624299 960460 961178 1105780 1200575 1248598 1382225 1922356 2401150 2402945 2497196 2764450 3121495 4802300 4805890 5426599 5528900 6242990 6247657 9611780 10853198 12014725 12485980 12495314 15607475 21706396 24029450 24990628 27132995 31214950 31238285 48058900 54265990 62429900 62476570 70545787 108531980 124953140 135664975 141091574 156191425 204241819 271329950 282183148 312382850 352728935 408483638 542659900 624765700 705457870 816967276 1021209095 1410915740 1763644675 2042418190 2655143647 3527289350 4084836380 5106045475 5310287294 7054578700 10212090950 10620574588 13275718235 20424181900 23079325547 26551436470 46158651094 53102872940 66378591175 92317302188 115396627735 132757182350 230793255470 265514364700 300031232111 461586510940 576983138675 600062464222 1153966277350 1200124928444 1500156160555 2307932554700 3000312321110 6000624642220 7500780802775 15001561605550 30003123211100